2 papers
math.NA2024
A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
Scott Congreve, Alice Hodson
In this paper we develop a -conforming virtual element method (VEM) for a class of second-order quasilinear elliptic PDEs in two dimensions. We present a posteriori error anal…
math.NA2020
Robust nonconforming virtual element methods for general fourth order problems with varying coefficients
Andreas Dedner, Alice Hodson
We present a class of nonconforming virtual element methods for general fourth order partial differential equations in two dimensions. We develop a generic approach for constructin…